Jenny's constant is the name given (Munroe 2012) to the positive real constant defined by
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(1)
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(2)
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(OEIS A182369), the first few digits of which are 867-5309, corresponding to the fictitious phone number in the song "867-5309/Jenny" performed by Tommy Tutone in 1982.
Other "simple" expressions that might vie for that moniker include
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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where 
is the hard hexagon entropy constant,
the first three of which are "better" than the canonical Jenny expression
(E. Weisstein, Jul. 12, 2013).
